{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "cell_id": "8962af0822344f1c878e6e7107e5caad",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 73
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 297,
    "execution_start": 1672245304248,
    "source_hash": "4e809dbd",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "数据集大小： 200\n"
     ]
    },
    {
     "data": {
      "image/png": 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LaZMwvAvAM4H93wbw22nntFEYVDkryWmqGI3m6cjSFohV2fllPbdro3QGkUth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\nQkgICgMhhJAQFAZCCCEhKAyEEEJC/H+Y30A2/oFs1gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00ed7aeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import ListedColormap\n",
    "from tqdm import tqdm, trange\n",
    "\n",
    "data = np.loadtxt('linear.csv', delimiter=',')\n",
    "print('数据集大小：', len(data))\n",
    "x = data[:, :2]\n",
    "y = data[:, 2]\n",
    "\n",
    "# 数据集可视化\n",
    "plt.figure()\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], color='blue', marker='x', label='y=1')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "cell_id": "9805bcd6cc7c42ce8d4c8e3d18dba16a",
    "collapsed": true,
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 85
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 17,
    "execution_start": 1672245308757,
    "id": "E3000AFB57224AF48C8554F24E28782A",
    "jupyter": {},
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "469b796c",
    "tags": []
   },
   "outputs": [],
   "source": [
    "def SMO(x, y, ker, C, max_iter):\n",
    "    '''\n",
    "    SMO算法\n",
    "    x，y：样本的值和类别\n",
    "    ker：核函数，与线性回归中核函数的含义相同\n",
    "    C：惩罚系数\n",
    "    max_iter：最大迭代次数\n",
    "    '''\n",
    "    # 初始化参数\n",
    "    m = x.shape[0]\n",
    "    alpha = np.zeros(m)\n",
    "        \n",
    "    # 预先计算所有向量的两两内积，减少重复计算\n",
    "    K = np.zeros((m, m))\n",
    "    for i in range(m):\n",
    "        for j in range(m):\n",
    "            K[i, j] = ker(x[i], x[j])\n",
    "    \n",
    "    for l in trange(max_iter):\n",
    "        # 开始迭代\n",
    "        for i in range(m):\n",
    "            # 有m个参数，每一轮迭代中依次更新\n",
    "            # 固定参数alpha_i与另一个随机参数alpha_j，并且保证i与j不相等\n",
    "            j = np.random.choice([l for l in range(m) if l != i])\n",
    "            \n",
    "            # 用-b/2a更新alpha_i的值\n",
    "            eta = K[j, j] + K[i, i] - 2 * K[i, j] # 分母\n",
    "            e_i = np.sum(y * alpha * K[:, i]) - y[i] # 分子\n",
    "            e_j = np.sum(y * alpha * K[:, j]) - y[j]\n",
    "            alpha_i = alpha[i] + y[i] * (e_j - e_i) / (eta + 1e-5) # 防止除以0\n",
    "            zeta = alpha[i] * y[i] + alpha[j] * y[j]\n",
    "\n",
    "            # 将alpha_i和对应的alpha_j保持在[0,C]区间\n",
    "            # 0 <= (zeta - y_j * alpha_j) / y_i <= C\n",
    "            if y[i] == y[j]:\n",
    "                lower = max(0, zeta / y[i] - C)\n",
    "                upper = min(C, zeta / y[i])\n",
    "            else:\n",
    "                lower = max(0, zeta / y[i])\n",
    "                upper = min(C, zeta / y[i] + C)\n",
    "            alpha_i = np.clip(alpha_i, lower, upper)\n",
    "            alpha_j = (zeta - y[i] * alpha_i) / y[j]\n",
    "            \n",
    "            # 更新参数\n",
    "            alpha[i], alpha[j] = alpha_i, alpha_j\n",
    "\n",
    "    return alpha"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "cell_id": "56c51a7cbb4e40f9bd10ba190253640e",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 97
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 23381,
    "execution_start": 1672245314515,
    "source_hash": "87867c13",
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████████████████████████████████████████████████████████████████████████| 1000/1000 [00:05<00:00, 175.55it/s]\n"
     ]
    }
   ],
   "source": [
    "# 设置超参数\n",
    "C = 1e8 # 由于数据集完全线性可分，我们不引入松弛变量\n",
    "max_iter = 1000\n",
    "np.random.seed(0)\n",
    "\n",
    "alpha = SMO(x, y, ker=np.inner, C=C, max_iter=max_iter)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "cell_id": "4b0179fcf4c44103ac5eb4d75712ffb6",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 103
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 330,
    "execution_start": 1672245341358,
    "source_hash": "4c177e12",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "支持向量个数： 6\n",
      "参数： [-1.0211867   1.66445549] -1.31270209704\n"
     ]
    },
    {
     "data": {
      "image/png": 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xI/nztj9o0NVYhzRqkuzS6vYxMktsoFm9ejU9+OCDBIAqV65MQ4YMoTNnzpht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\nGIZhGCf+H4Sv9reiwd83AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00f03d470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 用alpha计算w，b和支持向量\n",
    "sup_idx = alpha > 1e-5 # 支持向量的系数不为零\n",
    "print('支持向量个数：', np.sum(sup_idx))\n",
    "w = np.sum((alpha[sup_idx] * y[sup_idx]).reshape(-1, 1) * x[sup_idx], axis=0)\n",
    "wx = x @ w.reshape(-1, 1)\n",
    "b = -0.5 * (np.max(wx[y == -1]) + np.min(wx[y == 1]))\n",
    "print('参数：', w, b)\n",
    "\n",
    "# 绘图\n",
    "X = np.linspace(np.min(x[:, 0]), np.max(x[:, 0]), 100)\n",
    "Y = -(w[0] * X + b) / (w[1] + 1e-5)\n",
    "plt.figure()\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.plot(X, Y, color='black')\n",
    "# 用圆圈标记出支持向量\n",
    "plt.scatter(x[sup_idx, 0], x[sup_idx, 1], marker='o', color='none', edgecolor='purple', s=150, label='support vectors')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vKgIGDjTPJqvQoh5222LBY7Bz/Hrw4PIVVeWZxoFmAvs+lcv7/nIHvt6DUTkG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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00f208630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "# 创建并拟合模型\n",
    "log_reg = LogisticRegression(max_iter=10000)\n",
    "log_reg.fit(x, y)\n",
    "\n",
    "# 提取模型参数\n",
    "w_log_reg = log_reg.coef_[0]\n",
    "b_log_reg = log_reg.intercept_\n",
    "\n",
    "# 计算决策边界\n",
    "Y_log_reg = -(w_log_reg[0] * X + b_log_reg) / (w_log_reg[1] + 1e-5)\n",
    "\n",
    "# 可视化\n",
    "plt.figure()\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.plot(X, Y_log_reg, color='green', label='Logistic Regression')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "cell_id": "8f9814c7a89245909089346f793fb26a",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 115
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 397,
    "execution_start": 1672245349116,
    "source_hash": "b91962e3",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "数据集大小： 194\n"
     ]
    },
    {
     "data": {
      "image/png": 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XrCx/vzl9WopeilZHjMGvPlEBSlCAUunSH+zH3cQ1cxWaKgur4SyHvfckZtA5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\n/wH6PntVgrHYvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00f64f240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.loadtxt('spiral.csv', delimiter=',')\n",
    "print('数据集大小：', len(data))\n",
    "x = data[:, :2]\n",
    "y = data[:, 2]\n",
    "\n",
    "# 数据集可视化\n",
    "plt.figure()\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.axis('square')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "cell_id": "7e63e94e735c47fd948c2a4913015ac5",
    "collapsed": true,
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 139
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 0,
    "execution_start": 1672245355839,
    "id": "428FF466799F45CBBF045822B85FD8EC",
    "jupyter": {},
    "notebookId": "603654c929fbc20015fb267b",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "99826eae",
    "tags": []
   },
   "outputs": [],
   "source": [
    "# 简单多项式核\n",
    "def simple_poly_kernel(d):\n",
    "    def k(x, y): \n",
    "        return np.inner(x, y) ** d\n",
    "    return k\n",
    "\n",
    "# RBF核\n",
    "def rbf_kernel(sigma):\n",
    "    def k(x, y):\n",
    "        return np.exp(-np.inner(x - y, x - y) / (2.0 * sigma ** 2))\n",
    "    return k\n",
    "\n",
    "# 余弦相似度核\n",
    "def cos_kernel(x, y):\n",
    "    return np.inner(x, y) / np.linalg.norm(x, 2) / np.linalg.norm(y, 2)\n",
    "\n",
    "# sigmoid核\n",
    "def sigmoid_kernel(beta, c):\n",
    "    def k(x, y):\n",
    "        return np.tanh(beta * np.inner(x, y) + c)\n",
    "    return k"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "cell_id": "d101c53ea5d040c58bdea1583b466d87",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 151
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 97244,
    "execution_start": 1672245358792,
    "source_hash": "63d8ce81",
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： Poly(3)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████| 500/500 [00:02<00:00, 184.32it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： RBF(0.1)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████| 500/500 [00:02<00:00, 184.02it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： Cos\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████| 500/500 [00:02<00:00, 184.77it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "核函数： Sigmoid(1,-1)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████████████████████████████████████████| 500/500 [00:02<00:00, 184.23it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00f181ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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nh7cgQRBJhxB0QsgBCEvICa697gZUV72IQ4cOYum15fB0dmLhpfM0j12z9o+YNv2M8BZ0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\n3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NcIH+ilufVg1k9nitGFK/r57bpxXLeiMrpN4GSbIXZb4Yl1B6Kv41QMMxHSZ9eWxx1r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\nfA9VgDIK0XsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00f28ad68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kernels = [\n",
    "    simple_poly_kernel(3), \n",
    "    rbf_kernel(0.1), \n",
    "    cos_kernel, \n",
    "    sigmoid_kernel(1, -1)\n",
    "]\n",
    "ker_names = ['Poly(3)', 'RBF(0.1)', 'Cos', 'Sigmoid(1,-1)']\n",
    "C = 1e8\n",
    "max_iter = 500\n",
    "\n",
    "# 绘图准备，构造网格\n",
    "plt.figure()\n",
    "fig, axs = plt.subplots(2, 2, figsize=(10, 10))\n",
    "axs = axs.flatten()\n",
    "cmap = ListedColormap(['coral', 'royalblue'])\n",
    "\n",
    "# 开始求解 SVM\n",
    "for i in range(len(kernels)):\n",
    "    print('核函数：', ker_names[i])\n",
    "    alpha = SMO(x, y, kernels[i], C=C, max_iter=max_iter)\n",
    "    sup_idx = alpha > 1e-5 # 支持向量的系数不为零\n",
    "    sup_x = x[sup_idx] # 支持向量\n",
    "    sup_y = y[sup_idx]\n",
    "    sup_alpha = alpha[sup_idx]\n",
    "\n",
    "    # 用支持向量计算 w^T*x\n",
    "    def wx(x_new):\n",
    "        s = 0\n",
    "        for xi, yi, ai in zip(sup_x, sup_y, sup_alpha):\n",
    "            s += yi * ai * kernels[i](xi, x_new)\n",
    "        return s\n",
    "\n",
    "    # 计算b*\n",
    "    neg = [wx(xi) for xi in sup_x[sup_y == -1]]\n",
    "    pos = [wx(xi) for xi in sup_x[sup_y == 1]]\n",
    "    b = -0.5 * (np.max(neg) + np.min(pos))\n",
    "\n",
    "    # 构造网格并用 SVM 预测分类\n",
    "    G = np.linspace(-1.5, 1.5, 100)\n",
    "    G = np.meshgrid(G, G)\n",
    "    X = np.array([G[0].flatten(), G[1].flatten()]).T # 转换为每行一个向量的形式\n",
    "    Y = np.array([wx(xi) + b for xi in X])\n",
    "    Y[Y < 0] = -1\n",
    "    Y[Y >= 0] = 1\n",
    "    Y = Y.reshape(G[0].shape)\n",
    "    axs[i].contourf(G[0], G[1], Y, cmap=cmap, alpha=0.5)\n",
    "    # 绘制原数据集的点\n",
    "    axs[i].scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "    axs[i].scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "    axs[i].set_title(ker_names[i])\n",
    "    axs[i].set_xlabel(r'$x_1$')\n",
    "    axs[i].set_ylabel(r'$x_2$')\n",
    "    axs[i].legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "cell_id": "d661f61da2c94cdb88fbd59c170cfe20",
    "deepnote_app_coordinates": {
     "h": 5,
     "w": 12,
     "x": 0,
     "y": 163
    },
    "deepnote_cell_type": "code",
    "deepnote_to_be_reexecuted": false,
    "execution_millis": 1954,
    "execution_start": 1672245464005,
    "id": "326DF755FA4A4F168D190F426525A541",
    "jupyter": {},
    "notebookId": "603654c929fbc20015fb267b",
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    },
    "source_hash": "c054d8c",
    "tags": []
   },
   "outputs": [
    {
     "data": {
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tTZfRt/RlADbNvTymBueLiRm3WImZZ59qzImFWC0rNi62Pt7GxdzxfW7LaHbs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\nIHvNSgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00eea5518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 从sklearn.svm中导入SVM分类器\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "# 定义SVM模型，包括定义使用的核函数与参数信息\n",
    "model = SVC(kernel='rbf', gamma=50, tol=1e-6)\n",
    "model.fit(x, y)\n",
    "\n",
    "# 绘制结果\n",
    "fig = plt.figure(figsize=(6,6))\n",
    "G = np.linspace(-1.5, 1.5, 100)\n",
    "G = np.meshgrid(G, G)\n",
    "X = np.array([G[0].flatten(), G[1].flatten()]).T # 转换为每行一个向量的形式\n",
    "Y = model.predict(X)\n",
    "Y = Y.reshape(G[0].shape)\n",
    "plt.contourf(G[0], G[1], Y, cmap=cmap, alpha=0.5)\n",
    "# 绘制原数据集的点\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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I2/ojSZLvE7tKiaFPa7St48h96AvUieHouwXO5JZlmZK3f8S+9wyRdw1C2ykJqc5duup4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\nIgtU732rkr/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d00f06add8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 访问支持向量的索引\n",
    "support_vector_indices = model.support_\n",
    " \n",
    "# 获取支持向量\n",
    "support_vectors = x[support_vector_indices]\n",
    " \n",
    "# 绘制结果\n",
    "fig = plt.figure(figsize=(6,6))\n",
    "G = np.linspace(-1.5, 1.5, 100)\n",
    "G = np.meshgrid(G, G)\n",
    "X = np.array([G[0].flatten(), G[1].flatten()]).T # 转换为每行一个向量的形式\n",
    "Y = model.predict(X)\n",
    "Y = Y.reshape(G[0].shape)\n",
    "plt.contourf(G[0], G[1], Y, cmap=cmap, alpha=0.5)\n",
    " \n",
    "# 绘制支持向量\n",
    "plt.scatter(support_vectors[:,0], support_vectors[:,1], marker='o', color='none', edgecolor='purple', s=150, label='Support Vectors')\n",
    " \n",
    "# 绘制原数据集的点\n",
    "plt.scatter(x[y == -1, 0], x[y == -1, 1], color='red', label='y=-1')\n",
    "plt.scatter(x[y == 1, 0], x[y == 1, 1], marker='x', color='blue', label='y=1')\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "deepnote": {},
  "deepnote_app_layout": "article",
  "deepnote_execution_queue": [],
  "deepnote_notebook_id": "3966a1559ea24b1584c9dab72aa6d29c",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
